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Trader Intern Interview Questions


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Russian Roulette - 4 blanks 2 bullets, all in a row. If someone shoots a blank next to you, would you take another shot or spin

12 Answers

take another shot, 3/4 chance of surviving vs 2/3 if you respin

Here is my answer: the prob. of survival after re-spin is: 3/5. the prob. of survival with on re-spin is: 1/15 * 6/4 = 1/10.

correction: the prob. of survival after re-spin is: 4/6.

What if you could reflip 1 coin that you wanted. What would be the expected value then?

6 Answers

What is the smallest number divisible by 225 that consists of all 1s and 0s?

7 Answers

What is the chance that at least two people were born on the same day of the week if there are 3 people in the room?

6 Answers

You are playing a game in which four fair coins are flipped and the amount of money you receive in dollars is equal to the number of heads that appear in total. If you do not like the outcome of the first four flips, you have the option to re-flip the four coins, but you are obligated to take the second outcome. Determine a fair value fr the game.

6 Answers

You have 4 coins. You throw them in the air. For every H that lends, you get 1 dollar. How much would you pay to play this game?

6 Answers

question about having 12 marble (1 weigh different) , and one balance. Ask to find the different weight one with least try.

3 Answers

Now, you have an option to reflip all the coins if you want. What's your strategy? And how what's the expected value?

5 Answers

Sell me an invisible Pen

2 Answers

Five guys, all of different ages enter a bar and take a seat at a round table. What is the probability that they are seated in ascending order of age? (clockwise or counter-clockwise)

2 Answers
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